Выполните возведение в степень:
1) $(\frac{a}{b})^9$;
2) $(\frac{m}{n^2})^8$;
3) $(\frac{c}{2d})^5$;
4) $(\frac{5a^6}{b^5})^2$;
5) $(-\frac{3m^4}{2n^3})^3$;
6) $(-\frac{6a^6}{b^7})^2$.
$(\frac{a}{b})^9 = \frac{a^9}{b^9}$
$(\frac{m}{n^2})^8 = \frac{m^8}{n^{2 * 8}} = \frac{m^8}{n^{16}}$
$(\frac{c}{2d})^5 = \frac{c^5}{(2d)^5} = \frac{c^5}{32d^5}$
$(\frac{5a^6}{b^5})^2 = \frac{(5a^6)^2}{(b^5)^2} = \frac{5^2a^{6 * 2}}{b^{5 * 2}} = \frac{25a^{12}}{b^{10}}$
$(-\frac{3m^4}{2n^3})^3 = -\frac{(3m^4)^3}{(2n^3)^3} = -\frac{3^3m^{4 * 3}}{2^3n^{3 * 3}} = -\frac{27m^{12}}{8n^{9}}$
$(-\frac{6a^6}{b^7})^2 = \frac{(6a^6)^2}{b^{7 * 2}} = \frac{6^2a^{6 * 2}}{b^{14}} = \frac{36a^{12}}{b^{14}}$
Пожауйста, оцените решение
